Question # 1

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none of these

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

If the distance of any point on the curve from any of the two lines approaches zero then it is called

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Axis

Directrices

Asymptotes

None

Equation of parabola with focus F(-3,1) directrix x=3 is

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(y -1)2 =-12x

(y-1)2 =4x

(x+3)2 =4a(y-1)

y2 =-12(x-1)

Under multiplication, solution set of is

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Groupoid

Abelian group

Semi group

All of these

A prime number can be a factor of a square only if it occurs in the square at least

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Once

Thirce

Twice

None of these

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If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

Range of tanθis

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Set of complex numbers

Set of real numbers

Set of odd numbers

Set of positive integers only

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

Arithmetic mean between a and b is

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The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

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(2,7)

(-2,-7)

(-2,7)

(2,-7)

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0

1

-2

10

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f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

The angle between the vectors u =2i - i + k and v = -i + i is:

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3π/2

2π/3

5π/6

π/3

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-1

0

1

None of these

Which of the following is a vector

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length

momentum

volume

speed

Which of the following is a vector.

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energy

force

work

power

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Orthogonal

Involutary

Idempotent

Nilpotent

The physical quantity which possesses both magnitude and direction is called a

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scalar

vector

constant

none of these

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The mid point of the line segment joining the points (3,-1) and (-3,1) is

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(3,-1)

(0,0)

(2,2)

(4,4)

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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π

π/6

-π/2

2π

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

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- x

Infinite set

Φ

{-4,4}

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-3 -2i

3 +2i

1 + 2i

1 - 2i

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